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・ Karlsplatz (Stachus)
・ Karlsplatz (Vienna U-Bahn)
・ Karlsplatz Stadtbahn Station
・ Karlsrud (station)
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・ Karlsruhe (disambiguation)
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Karlsruhe metric
・ Karlsruhe model
・ Karlsruhe Nuclide Chart
・ Karlsruhe Palace
・ Karlsruhe Pyramid
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・ Karlsruhe Synagogue
・ Karlsruhe University of Applied Sciences
・ Karlsruhe University of Arts and Design
・ Karlsruhe Zoo
・ Karlsruhe, North Dakota
・ Karlsruhe-class cruiser
・ Karlsruhe-Durlach station
・ Karlsruhe/Baden-Baden Airport


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Karlsruhe metric : ウィキペディア英語版
Karlsruhe metric
In metric geometry, the Karlsruhe metric (the name alludes to the layout of the city of Karlsruhe), also called Moscow metric, is a measure of distance that assumes travel is only possible along radial streets and along circular avenues around the center.〔(Karlsruhe-Metric Voronoi Diagram )〕
The Karlsruhe distance between two points d_k(p_1,p_2) is given as

d_k(p_1,p_2)= \begin
\min(r_1,r_2) \cdot \delta(p_1,p_2) +|r_1-r_2|,&\text 0\leq \delta(p_1,p_2)\leq 2\\
r_1+r_2,&\text
\end

where (r_i,\varphi_i) are the polar coordinates of p_i and \delta(p_1,p_2)=\min(|\varphi_1-\varphi_2|,2\pi-|\varphi_1-\varphi_2|) is the angular distance between the two points.
==See also==

*Metric (mathematics)
*Manhattan distance
*Hamming distance

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Karlsruhe metric」の詳細全文を読む



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